I started to take dd for a walk in the pram or drive in the car at nap times at that age. She hasn't napped in a bed since, but will transfer out of the car (so wont fall asleep on a bed in the day).

When baby comes things will be different anyway, so I would just try and go with the flow. Fwiw me dd was shocking in the final weeks of my pg...whining, clinging, tantruming etc.